Relation-theoretic metrical coincidence theorems under weak C-contractions and K-contractions

Relation-theoretic metrical coincidence theorems under weak C-contractions and K-contractions

In this paper, we prove some coincidence point theorems for weak C-contractions and K-contractions involving a new auxiliary function in a metric space endowed with a locally f-transitive binary relation. In this context, we generalize some relevant fixed point results in the literature. Further, we...

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Main Authors: Faruk Sk, Asik Hossain, Qamrul Haq Khan
Format: Article
Language:English
Published: AIMS Press 2021-09-01
Series:AIMS Mathematics
Subjects:
binary relation
locally f-transitive
r-completeness
weak c-contraction
weak k-contraction
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2021756?viewType=HTML
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spelling doaj-60b330cdad8542d3bef51a2d5321ebbb2021-09-27T01:45:31ZengAIMS PressAIMS Mathematics2473-69882021-09-01612130721309110.3934/math.2021756Relation-theoretic metrical coincidence theorems under weak C-contractions and K-contractionsFaruk Sk0Asik Hossain 1Qamrul Haq Khan2Department of Mathematics, Aligarh Muslim University, Aligarh 202002, IndiaDepartment of Mathematics, Aligarh Muslim University, Aligarh 202002, IndiaDepartment of Mathematics, Aligarh Muslim University, Aligarh 202002, IndiaIn this paper, we prove some coincidence point theorems for weak C-contractions and K-contractions involving a new auxiliary function in a metric space endowed with a locally f-transitive binary relation. In this context, we generalize some relevant fixed point results in the literature. Further, we give an example to substantiate the utility of our results.https://www.aimspress.com/article/doi/10.3934/math.2021756?viewType=HTMLbinary relationlocally f-transitiver-completenessweak c-contractionweak k-contraction
collection DOAJ
language English
format Article
sources DOAJ
author Faruk Sk
Asik Hossain
Qamrul Haq Khan
spellingShingle Faruk Sk
Asik Hossain
Qamrul Haq Khan
Relation-theoretic metrical coincidence theorems under weak C-contractions and K-contractions
AIMS Mathematics
binary relation
locally f-transitive
r-completeness
weak c-contraction
weak k-contraction
author_facet Faruk Sk
Asik Hossain
Qamrul Haq Khan
author_sort Faruk Sk
title Relation-theoretic metrical coincidence theorems under weak C-contractions and K-contractions
title_short Relation-theoretic metrical coincidence theorems under weak C-contractions and K-contractions
title_full Relation-theoretic metrical coincidence theorems under weak C-contractions and K-contractions
title_fullStr Relation-theoretic metrical coincidence theorems under weak C-contractions and K-contractions
title_full_unstemmed Relation-theoretic metrical coincidence theorems under weak C-contractions and K-contractions
title_sort relation-theoretic metrical coincidence theorems under weak c-contractions and k-contractions
publisher AIMS Press
series AIMS Mathematics
issn 2473-6988
publishDate 2021-09-01
description In this paper, we prove some coincidence point theorems for weak C-contractions and K-contractions involving a new auxiliary function in a metric space endowed with a locally f-transitive binary relation. In this context, we generalize some relevant fixed point results in the literature. Further, we give an example to substantiate the utility of our results.
topic binary relation
locally f-transitive
r-completeness
weak c-contraction
weak k-contraction
url https://www.aimspress.com/article/doi/10.3934/math.2021756?viewType=HTML
work_keys_str_mv AT faruksk relationtheoreticmetricalcoincidencetheoremsunderweakccontractionsandkcontractions
AT asikhossain relationtheoreticmetricalcoincidencetheoremsunderweakccontractionsandkcontractions
AT qamrulhaqkhan relationtheoreticmetricalcoincidencetheoremsunderweakccontractionsandkcontractions
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